Question

Tim and Rick both can run at speed vr and walk at speed vw, with vr>vw. They set off together on a journey of distance D. Rick walks half of the distance and runs the other half. Tim walks half of the time and runs the other half.

1. How long does it take Rick to cover the distance D?
2. Find Rick's average speed for covering the distance D.
3. How long does it take Tim to cover the distance?
4. Who covers the distance D more quickly?
5. In terms of given quantities, by what amount of time, Delta t, does Tim beat Rick?

Answer 1

Step-by-step explanation:

1

t = D/2(vw) + D/2(vr)

2

V(ave) = 2.v(r).v(w) / [v(r) + v(w)]

3

t(T) = 2D / [v(w) + v(r)]

4

Tim does

5